A uniform \( \operatorname{bar} A B \) of mass \( m \) and a ball of the same mass are released ...

A uniform \( \operatorname{bar} A B \) of mass \( m \) and a ball of the same mass are released from rest from the same horizontal position. The bar is hinged at end \( A \). There is gravity downwards. What is the distance of the point from point \( B \) that has the same acceleration as the ball, immediately after release?
(1) \( \frac{2 L}{3} \)
(2) \( \frac{L}{3} \)
(3) \( \frac{L}{2} \)
(4) \( \frac{3 L}{4} \)